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APPROX
2010
Springer
297views Algorithms» more  APPROX 2010»
14 years 10 days ago
Approximating Linear Threshold Predicates
We study constraint satisfaction problems on the domain {-1, 1}, where the given constraints are homogeneous linear threshold predicates. That is, predicates of the form sgn(w1x1 +...
Mahdi Cheraghchi, Johan Håstad, Marcus Isaks...
LATIN
2010
Springer
13 years 9 months ago
On Quadratic Threshold CSPs
A predicate P : {−1, 1}k → {0, 1} can be associated with a constraint satisfaction problem Max CSP(P). P is called “approximation resistant” if Max CSP(P) cannot be approxi...
Per Austrin, Siavosh Benabbas, Avner Magen
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
14 years 5 months ago
Improved Approximation of Linear Threshold Functions
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Ilias Diakonikolas, Rocco A. Servedio
COLT
1993
Springer
14 years 2 months ago
Lower Bounds on the Vapnik-Chervonenkis Dimension of Multi-Layer Threshold Networks
We consider the problem of learning in multilayer feed-forward networks of linear threshold units. We show that the Vapnik-Chervonenkis dimension of the class of functions that ca...
Peter L. Bartlett